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Finding the Fourth Proportional to 417,170.08, 625,383.92 and 150,871.40

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Solution

The fourth proportional to 417,170.08, 625,383.92 and 150,871.40 is: 226,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,170.08 : 625,383.92 = 150,871.40 : x
  2. Step 2: Convert to fraction form
    417,170.08/625,383.92 = 150,871.40/x
  3. Step 3: Cross multiply
    417,170.08x = 625,383.92 × 150,871.40
  4. Step 4: Simplify right side
    417,170.08x = 94,352,547,547.89
  5. Step 5: Solve for x
    x = 94,352,547,547.89/417,170.08
  6. Step 6: Final answer
    x = 226,172.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.